Question

Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.


a +
s=
.

900 tickets are sold for the spring fling. Write an equation to represent this situation.

a+
=

Use the above systems of equations to determine how many adult and student tickets were sold.


Adult tickets and
student tickets.

Answer 1

all we know is that
4a + 2.50c = 2820
Now tell us how many tickets were sold (a+s), and we can proceed.

Answer 2

You are correct. We cannot determine how many adult and student tickets were sold without additional information.

Answer 3

900 tickets were sold (a+s)

Answer 4

well wtf is the last question of this

Answer 5

Using the two pieces of information given, we can set up a system of two equations in two variables:

4a + 2.5s = 2820 (equation representing the revenue from ticket sales)
a + s = 900 (equation representing the total number of tickets sold)

To solve for a and s, we can use substitution or elimination. For this example, we will use elimination:

Multiply the second equation by 2.5 to eliminate s:

2.5a + 2.5s = 2250

Subtract this equation from the first equation:

4a + 2.5s - (2.5a + 2.5s) = 2820 - 2250

Simplify and solve for a:

1.5a = 570

a = 380

Substitute this value of a into either equation to solve for s:

380 + s = 900

s = 520

Therefore, 380 adult tickets and 520 student tickets were sold.